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3 years ago

What is factor form x^2-10x+25 show work

Mathematics

1 answer:

iogann1982 [59]3 years ago

5 0

This trinomial is in a special form that can

be factored as the product of two binomials.

The first term in each binomial will be a factor of the x² term.

Since x² is just x · x, we use those as our first factors.

To factor this trinomial, we need factors of our constant that

add to the coefficient of the middle term in our trinomial.

So we're looking for factors of 25 that add to -10.

When your constant is positive and your middle term is negative,

you are going to use the negative factors of your constant term.

So the two numbers hat multiply to gives

us 25 and add to -10 are -5 and -5.

So our answer is (x - 5)(x - 5).

You might be interested in

In basketball, hang time is the time that both of your feet are off the ground during a jump.

matrenka [14]

Expression: t=2(2h/32)^1/2

Squaring on both sides,
t² = 2(2h/32)
t² = 4h/32
t² = h/8
h = 8t²

Height of player 1 = 8(0.9)² = 6.48 Feet
Height of player 2 = 8(0.8)² = 5.12 Feet

Difference = 6.48 - 5.12= 1.36 Feet = 16.32 in

In short, Your Answer would be:16 Inches

Hope this helps!

3 0

3 years ago

Read 2 more answers

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

WAIT! How is this possible? $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "-1 to the fourth."

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, $3(-1)^4$ :

$3(-1\cdot-1\cdot-1\cdot-1)$
$3(1)$
$3$

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: $-5x^2$

$-5(-1)^2$

Applying the same logic from our first term:

$-5(-1 \cdot -1)$
$-5(1)$
$-5$

Third term: $2x$

$2(-1) = -2$

-3 is just -3, no influence of x.

Combining our terms, we have $3-5-2-3$ .

This comes out to be -7, hence, the value of $f(-1)$ for our function $f(x)=3x^4-5x^2+2x-3$ is -7.

Hope this helped!

4 0

3 years ago

Read 2 more answers

8x-y+3x what is the answer for that

Lynna [10]

Answer:

11x-y

Step-by-step explanation:

You add 8x+3x and get 11x then you put the equation together

11x-y

HOPE THIS HELPS!!!

6 0

3 years ago

eleanor was curious if triangles DEF and GHI were similiar so she tried to map one figure onto the other using rigid transformat

luda_lava [24]

Answer:

Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformations Eleanor concluded "It's not possible to map triangle DEF on GHI using a sequence of rigid transformations, so the triangles are not similar. ... So the triangles are similar.

Step-by-step explanation:

4 0

2 years ago

One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that

Zielflug [23.3K]

Answer:

At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

Step-by-step explanation:

To reach a conclusion, we have to observe the confidence interval.

Should management conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components?

Is the upper bound of the confidence interval lower than 12% = 0.12?

If yes, it should conclude that this percentage is lower.

Otherwise, it cannot conclude.

Confidence interval:

0.0758 to 0.1339

0.1339 is higher than 0.12.

So.

6 0

3 years ago

Read 2 more answers